Yes, if the chick cannot poop it is unable to stand and walk properly.
A little belly massage can help to get the digestion going. First check the umbilicus as it has to be completely closed. If it looks good, proceed to take the chick in your left hand, its head pointing towards your wrist, legs pointing towards your finger tips. Lower your palm to have it laying on its back with the head slightly raised and gently massage with your right hand towards the chick's legs giving it long gentle strokes.
The poop will come out in a rather explosive way and the chick needs some rest afterwards, but should be able to stand, walk and poop properly after about 30 minutes.
And in case it does not drink on its own, administer a few drops of water, just one drop at a time.
Edit: I am trying to find the video.